ONE-DIMENSIONAL DAMPED WAVE EQUATION WITH LARGE INITIAL PERTURBATION

DOI10.1142/S0219530513500139zbMath1282.35062OpenAlexW2059928460MaRDI QIDQ2854021

Lili Fan, Huijiang Zhao, Hongxia Liu

Publication date: 17 October 2013

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219530513500139

zbMATH Keywords

exponential decayboundary layer solutionsalgebraic decaynonlinear convection term

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stability in context of PDEs (35B35) Second-order nonlinear hyperbolic equations (35L70) Initial value problems for second-order hyperbolic equations (35L15)

Cites Work

• Unnamed Item
• Decay estimates of planar stationary waves for damped wave equations with nonlinear convection in a multi-dimensional half space
• Asymptotic stability of traveling wave solutions of systems for one-dimensional gas motion
• Asymptotic behavior for scalar viscous conservation laws with boundary effect
• Stability of degenerate stationary waves for viscous gases
• Stability of planar stationary solutions to the compressible Navier-Stokes equation on the half space
• Stability of planar stationary waves for damped wave equations with nonlinear convection in multi-dimensional half-space
• Boundary layer to a system of viscous hyperbolic conservation laws
• Convergence rates of solutions toward boundary layer solutions for generalized Benjamin-Bona-Mahony-Burgers equations in the half-space
• Stability of boundary layer and rarefaction wave to an outflow problem for compressible Navier-Stokes equations under large perturbation
• Hardy type inequality and application to the stability of degenerate stationary waves
• Asymptotic stability of the stationary solution to the compressible Navier-Stokes equations in the half space
• Convergence rate of solutions toward stationary solutions to the compressible Navier-Stokes equation in a half line
• Large-time behaviour of solutions to the outflow problem of full compressible Navier–Stokes equations
• Behaviors of Solutions for the Burgers Equation with Boundary corresponding to Rarefaction Waves
• L^p ENERGY METHOD FOR MULTI-DIMENSIONAL VISCOUS CONSERVATION LAWS AND APPLICATION TO THE STABILITY OF PLANAR WAVES